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Finding the Third Proportional to 66,798 and 102,717

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Solution

The third proportional to 66,798 and 102,717 is: 157,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,798 : 102,717 = 102,717 : x
  2. Step 2: Convert to fraction form
    66,798/102,717 = 102,717/x
  3. Step 3: Cross multiply
    66,798x = 102,717 × 102,717
  4. Step 4: Simplify right side
    66,798x = 10,550,782,089
  5. Step 5: Solve for x
    x = 10,550,782,089/66,798
  6. Step 6: Final answer
    x = 157,950.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.